for all \(x,y,z,w\in X\)  and \(\alpha ,\beta \in [0,1].\)  A subset \(K\)  of
a hyperbolic space \(X\)  is convex if \(W(x,y,\alpha )\in K\)  for all \(x,y\in K\) 
and \(\alpha \in [0,1].\)  A hyperbolic space \(X\)  is uniformly convex
[1]} if for all \(u,x,y\in X,\)  \(r>0\)  and \(\epsilon \in (0,2],\)  there
exists \(\delta \in (0,1]\)  such that
\(d\left( W(x,y,\frac{1}{2}),u\right) \le (1-\delta )r\) 
